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Finding the Fourth Proportional to 783.26, 1,175 and 235.38

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Solution

The fourth proportional to 783.26, 1,175 and 235.38 is: 353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.26 : 1,175 = 235.38 : x
  2. Step 2: Convert to fraction form
    783.26/1,175 = 235.38/x
  3. Step 3: Cross multiply
    783.26x = 1,175 × 235.38
  4. Step 4: Simplify right side
    783.26x = 276,571.50
  5. Step 5: Solve for x
    x = 276,571.50/783.26
  6. Step 6: Final answer
    x = 353.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.